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Finding the Fourth Proportional to 284,030.96, 393,619.70 and 280,022

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Solution

The fourth proportional to 284,030.96, 393,619.70 and 280,022 is: 388,063.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,030.96 : 393,619.70 = 280,022 : x
  2. Step 2: Convert to fraction form
    284,030.96/393,619.70 = 280,022/x
  3. Step 3: Cross multiply
    284,030.96x = 393,619.70 × 280,022
  4. Step 4: Simplify right side
    284,030.96x = 110,222,175,633.40
  5. Step 5: Solve for x
    x = 110,222,175,633.40/284,030.96
  6. Step 6: Final answer
    x = 388,063.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.